用子波变换研究壁湍流Lipschitz奇异性指数

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基金项目: 国家自然科学基金资助项目(19672040)

Using Wavelet Transform to Study the Lipschitz Local Singular Exponent in Wall Turbulence

1.
Department of Mechanics, Tianjin University, Tianjin 300072;
2.
Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080, P.R.China

摘要: 本文用子波变换研究了描述壁湍流脉动速度局部奇异性行为的Lipschitz奇异性指数,发现在湍流边界层中,猝发和扫掠发生时脉动速度信号的Lipschitz局部奇异性指数为负值。
- 子波变换 /
- 相干结构 /
- Lipschitz局部奇异性指数
Abstract: In this paper, wavelet transform is introduced to study the Lipschitz local singular exponent for characterizing the local singularity behavior of fluctuating velocity in wall turbulence. It is found that the local singular exponent is negative when the ejections and sweeps of coherent structures occur in a turbulent boundary layer.
- wavelet transform /
- coherent structure /
- Lipschitz local singular exponent

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